Aptitude and Reasoning Questions

Q:

If a+b=5 and 3a+2b=20,then (3a+b)will be :

 

A) 20 B) 15
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

a+b=5   ...(1)    and    3a+2b=20 ...(2)

 

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

 

Putting a=10 in (1), we get : b=-5

 

Therefore,   (3a+b) = 3 x 10+(-5)=30-5=25.

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

24 83845
Q:

1397 x 1397 = ?

Here what replaces '?' 

A) 1951609 B) 1821504
C) 2031489 D) 1847879
 
Answer & Explanation Answer: A) 1951609

Explanation:

1397 x 1397

Number System mcq solution image

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

17 83775
Q:

In the following number series, one of the numbers is wrong. Find it out?

77, 79, 76, 81, 75, 85

A) 79 B) 81
C) 75 D) 85
 
Answer & Explanation Answer: C) 75

Explanation:

Here in the given series, it follows a pattern that

 

77 + 2 = 79

 

79  - 3 = 76

 

76 + 5 = 81

 

81 -  7 = 74

 

74 + 11 = 85

 

Consecutive adding and subtracting of prime numbers.

 

So the wrong number in the given series is 75.

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 83598
Q:

Some boys are men. No man is black

Conclusions:

1. Some boys are not black

2. Some men are boys

A) Only 1 follows B) Only 2 follows
C) Either 1 or 2 follows D) Neither 1 nor 2 follows
 
Answer & Explanation Answer: A) Only 1 follows

Explanation:

Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows

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Filed Under: Statement and Conclusions
Exam Prep: GRE

42 83584
Q:

Simplify the following equation ?

2003 x 2004 - 2001 x 2002 = ?

A) 8010 B) 8020
C) 8030 D) 8040
 
Answer & Explanation Answer: A) 8010

Explanation:

(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

3 83502
Q:

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

A) 24min B) 12min
C) 13min D) 14min
 
Answer & Explanation Answer: A) 24min

Explanation:

In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart

  Case 1 : (5*x + t) * 12/11

 (5*5 + 3) * 12/11

 28 * 12/11 = 336/11= 31511 min

therefore the hands will be 3 min apart at 31 5/11 min past 5.

Case 2 : (5*x - t) * 12/11

(5*5 -3 ) * 12/11

 22 *12/11 = 24 min 

 therefore the hands will be 3 min apart at 24 min past 5

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

200 83424
Q:

 A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is :

A) 45 B) 40
C) 39 D) 37
 
Answer & Explanation Answer: B) 40

Explanation:

Let there be x pupils in the class.

Total increase in marks = (x * 1/2) = x/2.

x/2 = (83 - 63) => x/2 = 20 => x = 40.

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Filed Under: Average

198 83415
Q:

The following question is based on the given data for an examination.

A. Candidates appeared                 10500

B. Passed in all the five subjects     5685

C. Passed in three subjects only     1498

D. Passed in two subjects only       1250

E. Passed in one subject only           835

F. Failed in English only                       78

G. Failed in Maths only                      275

H. Failed in Physics only                    149

I. Failed in Chemistry only                147

J. Failed in Biology only                     221

 

How many candidates passed in at least four subjects ?

A) 6555 B) 5685
C) 1705 D) 870
 
Answer & Explanation Answer: A) 6555

Explanation:

Candidates passed in atleast four subjects

= (Candidates passed in 4 subjects) + (Candidates Passed in all 5 subjects)

= (Candidates failed in only 1 subject ) + ( Candidates passed in all subjects)

= (78 + 275 + 149 + 147 + 221) + 5685 = 870 + 5685 = 6555    

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Filed Under: Arithmetical Reasoning

61 83175